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Jakub Jelinek
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Ulrich Drepper
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Oct 11, 2010
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/* Compute x * y + z as ternary operation. | ||
Copyright (C) 2010 Free Software Foundation, Inc. | ||
This file is part of the GNU C Library. | ||
Contributed by Jakub Jelinek <jakub@redhat.com>, 2010. | ||
The GNU C Library is free software; you can redistribute it and/or | ||
modify it under the terms of the GNU Lesser General Public | ||
License as published by the Free Software Foundation; either | ||
version 2.1 of the License, or (at your option) any later version. | ||
The GNU C Library is distributed in the hope that it will be useful, | ||
but WITHOUT ANY WARRANTY; without even the implied warranty of | ||
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | ||
Lesser General Public License for more details. | ||
You should have received a copy of the GNU Lesser General Public | ||
License along with the GNU C Library; if not, write to the Free | ||
Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA | ||
02111-1307 USA. */ | ||
|
||
#include <math.h> | ||
#include <fenv.h> | ||
#include <ieee754.h> | ||
|
||
/* This implementation relies on double being more than twice as | ||
precise as float and uses rounding to odd in order to avoid problems | ||
with double rounding. | ||
See a paper by Boldo and Melquiond: | ||
http://www.lri.fr/~melquion/doc/08-tc.pdf */ | ||
|
||
float | ||
__fmaf (float x, float y, float z) | ||
{ | ||
fenv_t env; | ||
/* Multiplication is always exact. */ | ||
double temp = (double) x * (double) y; | ||
union ieee754_double u; | ||
feholdexcept (&env); | ||
fesetround (FE_TOWARDZERO); | ||
/* Perform addition with round to odd. */ | ||
u.d = temp + (double) z; | ||
if ((u.ieee.mantissa1 & 1) == 0 && u.ieee.exponent != 0xff) | ||
u.ieee.mantissa1 |= fetestexcept (FE_INEXACT) != 0; | ||
feupdateenv (&env); | ||
/* And finally truncation with round to nearest. */ | ||
return (float) u.d; | ||
} | ||
#ifndef __fmaf | ||
weak_alias (__fmaf, fmaf) | ||
#endif |
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